Nevşehir Hacı Bektaş Veli University Course Catalogue
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| Year/Semester of Study | 3 / Spring Semester | ||||
| Level of Course | 1st Cycle Degree Programme | ||||
| Type of Course | Compulsory | ||||
| Department | MATHEMATICS | ||||
| Pre-requisities and Co-requisites | PARTIAL DIFFERENTIAL EQUATIONS I, | ||||
| Mode of Delivery | Face to Face | ||||
| Teaching Period | 14 Weeks | ||||
| Name of Lecturer | MEHMET ŞENOL (msenol@nevsehir.edu.tr) | ||||
| Name of Lecturer(s) | |||||
| Language of Instruction | Turkish | ||||
| Work Placement(s) | Know second order partial differential equations. | ||||
| Objectives of the Course | |||||
| Giving basic information about partial differential equations that the student will need during undergraduate and graduate education. And to figure out how to go about solving problems. | |||||
| Learning Outcomes | PO | MME | |
| The students who succeeded in this course: | |||
| PO: Programme Outcomes MME:Method of measurement & Evaluation |
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| Course Contents | ||
| Second order linear equation with constant coefficients, Generalization of equation with constant coefficients, Non-reducible equations, Euler equation, Second order almost linear equations, Reduction to kanoic form, Second order linear equations with variable coefficients, Order reduction of second order linear equation, Wave equation, A fixed string vibration motion of the ends, Solutions of Laplace equations | ||
| Weekly Course Content | ||
| Week | Subject | Learning Activities and Teaching Methods |
| 1 | Second order linear equation with constant coefficients | |
| 2 | Generalization of equation with constant coefficients | |
| 3 | Non-reducible equations, | |
| 4 | Euler equation | |
| 5 | Second order almost linear equations, Reduction to kanoic form | |
| 6 | Second order linear equations with variable coefficients | |
| 7 | Order reduction of second order linear equation | |
| 8 | mid-term exam | |
| 9 | Wave equation | |
| 10 | A fixed string vibration motion of the ends | |
| 11 | A fixed string vibration motion of the ends Distributable solutions of one dimensional homogen wave equation | |
| 12 | Two dimensional wave equation in rectangular region | |
| 13 | Solution of two dimensional homogen wave equation in polar coordinates | |
| 14 | A solution that can be divided into variables of one dimensional heat equation | |
| 15 | Solutions of Laplace equations | |
| 16 | final exam | |
| Recommend Course Book / Supplementary Book/Reading | ||
| 1 | M. Çağlayan, O. Çelebi, Kısmi diferensiyel denklemler, Nadir Kitap, 2012. | |
| 2 | Evans, L.C.,2010. Partial Differential Equations (Graduate Studies In Mathematics). American Mathematical Society | |
| Required Course instruments and materials | ||
| Assessment Methods | |||
| Type of Assessment | Week | Hours | Weight(%) |
| mid-term exam | 8 | 2 | 40 |
| Other assessment methods | |||
| 1.Oral Examination | |||
| 2.Quiz | |||
| 3.Laboratory exam | |||
| 4.Presentation | |||
| 5.Report | |||
| 6.Workshop | |||
| 7.Performance Project | |||
| 8.Term Paper | |||
| 9.Project | |||
| final exam | 16 | 2 | 60 |
| Student Work Load | |||
| Type of Work | Weekly Hours | Number of Weeks | Work Load |
| Weekly Course Hours (Theoretical+Practice) | 4 | 14 | 56 |
| Outside Class | |||
| a) Reading | 1 | 14 | 14 |
| b) Search in internet/Library | 0 | ||
| c) Performance Project | 0 | ||
| d) Prepare a workshop/Presentation/Report | 0 | ||
| e) Term paper/Project | 0 | ||
| Oral Examination | 0 | ||
| Quiz | 0 | ||
| Laboratory exam | 0 | ||
| Own study for mid-term exam | 2 | 4 | 8 |
| mid-term exam | 2 | 1 | 2 |
| Own study for final exam | 2 | 4 | 8 |
| final exam | 2 | 1 | 2 |
| 0 | |||
| 0 | |||
| Total work load; | 90 | ||